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Finding the Fourth Proportional to 957,046.23, 1,320,978.49 and 564,923.97

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Solution

The fourth proportional to 957,046.23, 1,320,978.49 and 564,923.97 is: 779,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,046.23 : 1,320,978.49 = 564,923.97 : x
  2. Step 2: Convert to fraction form
    957,046.23/1,320,978.49 = 564,923.97/x
  3. Step 3: Cross multiply
    957,046.23x = 1,320,978.49 × 564,923.97
  4. Step 4: Simplify right side
    957,046.23x = 746,252,411,443.10
  5. Step 5: Solve for x
    x = 746,252,411,443.10/957,046.23
  6. Step 6: Final answer
    x = 779,745.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.